(a) Find the t critical value associated with 95% confidence with 7 df. t* =  (b) Find the t critical value associated with 99% confidence with 17 df. t* =

A recent newspaper article claims that 62% of car accidents involve some evidence of distracted driving. A police officer questions this claim, and pulls a random sample of 61 accident reports. If 43 of them involve distracted driving, is this enough evidence to show that the proportion of car accidents involve some evidence of distracted driving is significantly greater than than reported by the newspaper? (Use α=0.025) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)

An ANOVA produces an F-ratio with df = 1, 34. Could the data have been analyzed with a t test? What would the degrees of freedom be for a t statistic?

A large sample confidence inerval for the log of the relative risk is: CI = log(p1/p2)+-Z(alpha/2)sqrt[(1-p1/n1p1)+(1-p2/n2p2) Antilogs of the endpoints yield an interval for the true relative risk. Verify the 95% CI of (1.43, 2.30) reported for  the relative risk in the following table (aspin and heart attack study):   myocardial infarction+ Myocardial infarction - total aspirin 189 10845 11034 placebo 104 10933 11037 total 293 21778 22071

Weekly downtime of internet services from an internet service provider (in hours) has expected value 0.5 and variance 0.25. Based on past experience, the data scientist of a retailer store has calculated the loss function to the store from the downtime as C=30X+2X2 where X is the amount of weekly downtime and C is cost. Find the Expected cost, i.e, E(C).

21) Find the critical values, X1- a/2 and X a/2' 2. for 99% confidence and n = 10. %3D

A simple linear regression of Y on X reveals that for n=30 observations, r²=0.80, the standard deviation of X is 3. The regression sum of squares is 1400. What is the value of the standard deviation of Y? What is the value of slope b? Show steps.

A random sample of 28 lunch orders at Noodles & Company showed a standard deviation of $6.24. Find the 99 percent confidence interval for the population standard deviation. Use Excel to obtain χ2L=CHISQ.INV(α/2,d.f.)χL2=CHISQ.INV(α/2,d.f.) and χ2U=CHISQ.INV.RT(α/2,d.f.)χU2=CHISQ.INV.RT(α/2,d.f.) (Round your answers to 2 decimal places.) The 99% confidence interval is from _________ to____________  .

58% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 187 of the 279 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.05? The test statistic    = (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) Interpret the p-value in the context of the study. If the population proportion of students who played intramural sports who received a degree within six years is 58% and if another 279 students who played intramural sports are surveyed then there would be a 0.11% chance that more than 67% of the 279 students surveyed received a degree within six years If the sample proportion of students who played intramural sports who received a degree within six years is 67% and if another 279 students who played intramural sports are surveyed then there would be a…

α = 0.01 for a right tailed test.  Find the critical z value.